Spinors and essential dimension

@article{Garibaldi2017SpinorsAE,
  title={Spinors and essential dimension},
  author={S. Garibaldi and R. Guralnick},
  journal={Compositio Mathematica},
  year={2017},
  volume={153},
  pages={535 - 556}
}
We prove that spin groups act generically freely on various spinor modules, in the sense of group schemes and in a way that does not depend on the characteristic of the base field. As a consequence, we extend the surprising calculation of the essential dimension of spin groups and half-spin groups in characteristic zero by Brosnan et al. [Essential dimension, spinor groups, and quadratic forms, Ann. of Math. (2) 171 (2010), 533–544], and Chernousov and Merkurjev [Essential dimension of spinor… Expand
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